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jok3333 [9.3K]
3 years ago
5

The graph of the function f is shown. f(3) =

Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Answer: f(3) is 5.

Step-by-step explanation:

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Find p[b] in each case: (a) events a and b are a partition and p[a] = 3p[b]. (b) for events a and b, p[a ∪ b] = p[a] and p[a ∩ b
nirvana33 [79]

Answer:

Case(a): p[b]=\frac{1}{3}p[a]

Case(b): p[b]=0

Case(c):  p[b]=\frac{1}{2}p[a\cap b]

Step-by-step explanation:

Given

(a) events a and b are a partition and p[a] = 3p[b].

(b) for events a and b, p[a ∪ b] = p[a] and p[a ∩ b] = 0.

(c) for events a and b, p[a ∪ b] = p[a]− p[b].

we have to find the p[b] in each case:

Case (a): events a and b are a partition and p[a] = 3p[b].

gives p[b]=\frac{1}{3}p[a]

Case (b):  for events a and b, p[a ∪ b] = p[a] and p[a ∩ b] = 0.

p[a\cup b]=p[a] ⇒p[a]+p[b]-p[a\cap b]=p(a) ⇒ p[b]=0  ∵  p[a ∩ b] = 0.

Case(3):  for events a and b, p[a ∪ b] = p[a]− p[b].

p[a ∪ b] = p[a]− p[b]

⇒ p[a]+p[b]-p[a\cap b]=p[a]-p[b]

⇒ 2p[b]=p[a\cap b]

⇒  p[b]=\frac{1}{2}p[a\cap b]

4 0
4 years ago
Read 2 more answers
I need help with number 4 please help
Gemiola [76]
You have to multiply 3 by 10 and 8 by 3, then subtract them

30/80 - 24/80 = 6/80

then simplify

6/2 and 80/2

3/40

6 0
4 years ago
Read 2 more answers
Ahmed invests $1,500 at an interest rate of 4%, compounded quarterly and another $1,500 at an interest rate of 3.75%, compounded
earnstyle [38]

Answer: $1904.60

Step-by-step explanation:

This is 1500(1+.04/4)^24 where .04/4 is the interest rate for each compounding, or the interest rate /4, for 4 quarters.

The 24 is 4 quarters/year * 6 years

round at the end

=$1904.60

<em>hope this helped!:)</em>

7 0
3 years ago
Write the equation in standard form for the circle with center (-3, -7) and radius 19
hram777 [196]

Answer:

( x + 3)² + ( y + 7)² = 361

Step-by-step explanation:

The equation of a circle written in standard form is ( x – h)² + ( y - k)² = r². The center is (h, k) and the radius is r.

With the given information of center (-3, -7) and radius 19, we get

[ x – (-3)]² + [ y - (-3)]² = (19)²

( x + 3)² + ( y + 7)² = 361

6 0
3 years ago
Can someone answer this?
Sergeu [11.5K]

Answer:

-1 - 3

—————-

5-0

       

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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